FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Reactor given Wasting Rate from Return Line Formula

GoVolume of Reactor Formula

GoVolume of Reactor given Hydraulic Retention Time Formula

Fx Copy

LaTeX Copy

Reactor Volume refers to the physical volume of a reactor used in chemical processes. Check FAQs

V = θ c \cdot \frac{(Q w' \cdot X r) + (Q e \cdot X e)}{X}

V - Reactor Volume?θ_c - Mean Cell Residence Time?Q_w' - WAS Pumping Rate from Return Line?X_r - Sludge Concentration in Return Line?Q_e - Effluent Flow Rate?X_e - Solid Concentration in Effluent?X - MLSS?

Volume of Reactor given Wasting Rate from Return Line Example

With values

With units

Only example

Here is how the Volume of Reactor given Wasting Rate from Return Line equation looks like with Values.

Here is how the Volume of Reactor given Wasting Rate from Return Line equation looks like with Units.

Here is how the Volume of Reactor given Wasting Rate from Return Line equation looks like.

1000.0002 = 7 \cdot \frac{(400 \cdot 200) + (1523.81 \cdot 60)}{1200}

1000.0002m³ = 7d \cdot \frac{(400m³/d \cdot 200mg/L) + (1523.81m³/d \cdot 60mg/L)}{1200mg/L}

1000.0002 = 7 \cdot \frac{(400 \cdot 200) + (1523.81 \cdot 60)}{1200}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Volume of Reactor given Wasting Rate from Return Line

Volume of Reactor given Wasting Rate from Return Line Solution

Follow our step by step solution on how to calculate Volume of Reactor given Wasting Rate from Return Line?

FIRST Step Consider the formula

V = θ c \cdot \frac{(Q w' \cdot X r) + (Q e \cdot X e)}{X}

Next Step Substitute values of Variables

∴

V = 7d \cdot \frac{(400m³/d \cdot 200mg/L) + (1523.81m³/d \cdot 60mg/L)}{1200mg/L}

Next Step Convert Units

∴

V = 604800s \cdot \frac{(0.0046m³/s \cdot 0.2kg/m³) + (0.0176m³/s \cdot 0.06kg/m³)}{1.2kg/m³}

Next Step Prepare to Evaluate

∴

V = 604800 \cdot \frac{(0.0046 \cdot 0.2) + (0.0176 \cdot 0.06)}{1.2}

Next Step Evaluate

∴

V = 1000.00016666667m³

LAST Step Rounding Answer

∴

V = 1000.0002m³

Volume of Reactor given Wasting Rate from Return Line Formula Elements

Variables

Reactor Volume

Reactor Volume refers to the physical volume of a reactor used in chemical processes.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Reactor Volume

Mean Cell Residence Time

Mean Cell Residence Time is the average time that the sludge remains in the reactor.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be between 5 to 15.

Formulas to find Mean Cell Residence Time

WAS Pumping Rate from Return Line

WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.

Symbol: Q_w'

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find WAS Pumping Rate from Return Line

Sludge Concentration in Return Line

Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.

Symbol: X_r

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Sludge Concentration in Return Line

Effluent Flow Rate

Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Effluent Flow Rate

Solid Concentration in Effluent

Solid Concentration in Effluent is the total amount of solids that are present in the effluent.

Symbol: X_e

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Solid Concentration in Effluent

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Other Formulas to find Reactor Volume

Go Volume of Reactor

V = \frac{θ c \cdot Y \cdot Q a \cdot (S o - S)}{X a \cdot (1 + (θ c \cdot k d))}

Go Volume of Reactor given Hydraulic Retention Time

V = θ \cdot Q a

How to Evaluate Volume of Reactor given Wasting Rate from Return Line?

Volume of Reactor given Wasting Rate from Return Line evaluator uses Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS to evaluate the Reactor Volume, The Volume of Reactor given Wasting Rate from Return Line formula is defined as the total volume of the reactor which can accommodate the incoming sewage. Reactor Volume is denoted by V symbol.

How to evaluate Volume of Reactor given Wasting Rate from Return Line using this online evaluator? To use this online evaluator for Volume of Reactor given Wasting Rate from Return Line, enter Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e), Solid Concentration in Effluent (X_e) & MLSS (X) and hit the calculate button.

FAQs on Volume of Reactor given Wasting Rate from Return Line

What is the formula to find Volume of Reactor given Wasting Rate from Return Line?

The formula of Volume of Reactor given Wasting Rate from Return Line is expressed as Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS. Here is an example- 1000 = 604800*((0.00462962962962963*0.2)+(0.0176366898148148*0.06))/1.2.

How to calculate Volume of Reactor given Wasting Rate from Return Line?

With Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e), Solid Concentration in Effluent (X_e) & MLSS (X) we can find Volume of Reactor given Wasting Rate from Return Line using the formula - Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS.

What are the other ways to Calculate Reactor Volume?

Here are the different ways to Calculate Reactor Volume-

Reactor Volume=(Mean Cell Residence Time*Maximum Yield Coefficient*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient)))
Reactor Volume=Hydraulic Retention Time*Average Daily Influent Flow Rate
Reactor Volume=Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS

Can the Volume of Reactor given Wasting Rate from Return Line be negative?

No, the Volume of Reactor given Wasting Rate from Return Line, measured in Volume cannot be negative.

Which unit is used to measure Volume of Reactor given Wasting Rate from Return Line?

Volume of Reactor given Wasting Rate from Return Line is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Reactor given Wasting Rate from Return Line can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Reactor given Wasting Rate from Return Line Formula

​GoVolume of Reactor Formula

​GoVolume of Reactor given Hydraulic Retention Time Formula

Volume of Reactor given Wasting Rate from Return Line Example

Volume of Reactor given Wasting Rate from Return Line Solution

Volume of Reactor given Wasting Rate from Return Line Formula Elements

Other Formulas to find Reactor Volume

How to Evaluate Volume of Reactor given Wasting Rate from Return Line?

FAQs on Volume of Reactor given Wasting Rate from Return Line

Variable Name

GoVolume of Reactor Formula

GoVolume of Reactor given Hydraulic Retention Time Formula